Respuesta :

Answer:

184cm²

Step-by-step explanation:

Ver imagen Nightchan

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

  • Area = 184 cm²

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

Divide the figure into two parts,

Part 1 : rectangle with, width = 7 cm and length = 20 cm

Area of part 1 :

[tex] \qquad❖ \: \sf \:20 \times 7[/tex]

[tex] \qquad❖ \: \sf \:140 \: \: {cm}^{2} [/tex]

Part 2 : Trapezoid with parallel sides - 7 cm and 4 cm,and height 8 cm

Area of part 2 :

[tex] \qquad❖ \: \sf \: \cfrac{1}{2} \cdot (7 + 4) \sdot(8)[/tex]

[tex] \qquad❖ \: \sf \:11 \times 4[/tex]

[tex] \qquad❖ \: \sf \:44 \: \: {cm}^{2} [/tex]

Area of whole figure =Area of part 1 + part 2

[tex] \qquad❖ \: \sf \:140 + 44 \: \: {cm}^{2} [/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

[tex] \qquad❖ \: \sf \:area =184\: \: {cm}^{2} [/tex]